Paper Citation Record · LEDGER

Stochastic PDE approach to fluctuating interfaces

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2412.00708.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.00708 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:20:41.426560Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:05:39.894832Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T22:05:40.050020Z

Reference resolution

29 of 29 outbound references displayed

verified exact5
verified fuzzy21
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70f939df-c2c2-4787-8e9d-ed5e18b23cff · outbound

This paper cites Alfaro, D.

Stochastic PDE approach to fluctuating interfaces Alfaro, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.891634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 86c37d59-29c0-4cd2-ba28-e620bf9260bb · outbound

This paper cites Lecture notes on stationary critical and super-critical SPDEs.

Stochastic PDE approach to fluctuating interfaces Lecture notes on stationary critical and super-critical SPDEs

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T05:20:41.197963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4358c9b-4949-4a2f-a843-be163733fa06 · outbound

This paper cites Caravenna, R.

Stochastic PDE approach to fluctuating interfaces Caravenna, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.877313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b0eac21e-b1c8-47c8-9f7f-91f457493bc5 · outbound

This paper cites Carr and R.L.

Stochastic PDE approach to fluctuating interfaces Carr and R.L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.863554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3462baf8-8818-48b2-be85-9345779161d7 · outbound

This paper cites A central limit theorem for nonlinear conservative SPDEs.

Stochastic PDE approach to fluctuating interfaces A central limit theorem for nonlinear conservative SPDEs

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:20:41.577183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8630cd4f-eaf1-4f71-b3bc-4c8af5a732ea · outbound

This paper cites Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation.

Stochastic PDE approach to fluctuating interfaces Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T05:20:41.322311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43b056bd-9787-4216-b645-faba40c3d92b · outbound

This paper cites Da Prato and A.

Stochastic PDE approach to fluctuating interfaces Da Prato and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.849728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b6b27c6a-c2df-44db-9ce2-a4da165e46d6 · outbound

This paper cites Instantaneous everywhere-blowup of parabolic SPDEs.

Stochastic PDE approach to fluctuating interfaces Instantaneous everywhere-blowup of parabolic SPDEs

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:20:41.542670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d713684-a6d8-48df-915b-33772181ef70 · outbound

This paper cites Funaki , The scaling limit for a stochastic PDE and the separation of ph ases, Probab.

Stochastic PDE approach to fluctuating interfaces Funaki , The scaling limit for a stochastic PDE and the separation of ph ases, Probab

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.835483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a19d8b6c-be2a-4bcb-b276-b68c0bb210fc · outbound

This paper cites Funaki , Singular limit for stochastic reaction-diﬀusion equation and generation of random interfaces , Acta Math.

Stochastic PDE approach to fluctuating interfaces Funaki , Singular limit for stochastic reaction-diﬀusion equation and generation of random interfaces , Acta Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.820998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b9605b9-76bd-4262-ab08-dbdb9d473799 · outbound

This paper cites Funaki , Lectures on Random Interfaces, SpringerBriefs in Probability and Math- ematical Statistics, 2016, xii+138 pp.

Stochastic PDE approach to fluctuating interfaces Funaki , Lectures on Random Interfaces, SpringerBriefs in Probability and Math- ematical Statistics, 2016, xii+138 pp

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.806861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0cafb5e3-bfd6-4147-93c2-a22ea13e1e9d · outbound

This paper cites Funaki , Hydrodynamic limit for exclusion processes , Comm.

Stochastic PDE approach to fluctuating interfaces Funaki , Hydrodynamic limit for exclusion processes , Comm

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.791717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 746f74d7-02d7-4eb2-baf9-d4d7a89818f0 · outbound

This paper cites Interface motion from Glauber-Kawasaki dynamics of non-gradient type.

Stochastic PDE approach to fluctuating interfaces Interface motion from Glauber-Kawasaki dynamics of non-gradient type

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T05:20:41.351869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfdae171-c378-48bf-a3c9-f137b3fe5032 · outbound

This paper cites Funaki, C.

Stochastic PDE approach to fluctuating interfaces Funaki, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.776818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 01ed52df-b363-4556-893c-9450234df3e4 · outbound

This paper cites Funaki, P.

Stochastic PDE approach to fluctuating interfaces Funaki, P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.763180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9f7b445d-afd2-4a2d-8806-616e9ce3511b · outbound

This paper cites Funaki, Y.

Stochastic PDE approach to fluctuating interfaces Funaki, Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.749223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d5f15be7-3e04-4a1f-95e6-8d0f7268f5cc · outbound

This paper cites Schauder estimate for quasilinear discrete PDEs of parabolic type.

Stochastic PDE approach to fluctuating interfaces Schauder estimate for quasilinear discrete PDEs of parabolic type

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:20:41.508559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f6b1d6d1-3971-4010-b87d-3fd9a3f74fd9 · outbound

This paper cites Renormalisation in the presence of variance blowup.

Stochastic PDE approach to fluctuating interfaces Renormalisation in the presence of variance blowup

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:20:41.489401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80e37875-eeb9-4c4a-9341-3361e3ea8689 · outbound

This paper cites Kawasaki, Non-equilibrium and Phase Transition — Statistical Physic s of Meso- scale (in Japanese), Asakura-Shoten, 2000.

Stochastic PDE approach to fluctuating interfaces Kawasaki, Non-equilibrium and Phase Transition — Statistical Physic s of Meso- scale (in Japanese), Asakura-Shoten, 2000

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.735218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b18bce1f-c4b9-4ddf-93bd-b4cf2ef4e239 · outbound

This paper cites Kawasaki and T.

Stochastic PDE approach to fluctuating interfaces Kawasaki and T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.721506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f72ebcf-7fe2-4fd8-98bd-756e037ad95d · outbound

This paper cites Krylov and B.L.

Stochastic PDE approach to fluctuating interfaces Krylov and B.L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.707941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f410c48-4c66-493d-a0f1-aeaa1ea85b72 · outbound

This paper cites Pel ´aez, F.B.

Stochastic PDE approach to fluctuating interfaces Pel ´aez, F.B

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.694003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1a476fd-67c2-4403-82e5-db49e193bab1 · outbound

This paper cites Savin, Regularity of ﬂat level sets in phase transitions , Ann.

Stochastic PDE approach to fluctuating interfaces Savin, Regularity of ﬂat level sets in phase transitions , Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.679951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a9eb38bc-e15a-49a7-af64-e61e3af8f74b · outbound

This paper cites Savin, Phase transitions, minimal surfaces and a conjecture of de G iorgi, Current developments in mathematics, 2009, 59–113 (2010).

Stochastic PDE approach to fluctuating interfaces Savin, Phase transitions, minimal surfaces and a conjecture of de G iorgi, Current developments in mathematics, 2009, 59–113 (2010)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.664538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e3b08c20-c258-424d-9255-ab20ac79c767 · outbound

This paper cites Spohn , Nonlinear ﬂuctuating hydrodynamics for anharmonic chains , J.

Stochastic PDE approach to fluctuating interfaces Spohn , Nonlinear ﬂuctuating hydrodynamics for anharmonic chains , J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.649503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 97be3f63-f8a2-4918-ad4e-479499506c5b · outbound

This paper cites Spohn and G.

Stochastic PDE approach to fluctuating interfaces Spohn and G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.635115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 00c21402-3e85-4359-bc0f-5eb1daf99f15 · outbound

This paper cites W akasa and S.

Stochastic PDE approach to fluctuating interfaces W akasa and S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.620690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c328e848-3baa-49f7-ab8e-ce36221e62b5 · outbound

This paper cites Weber , On the short time asymptotic of the stochastic Allen-Cahn equ ation, Ann.

Stochastic PDE approach to fluctuating interfaces Weber , On the short time asymptotic of the stochastic Allen-Cahn equ ation, Ann

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:20:41.607050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation afa2a4d0-1152-4cca-95cb-cdaa0776d6c6 · outbound

This paper cites Interface fluctuations for $1$D stochastic Allen-Cahn equation revisited.

Stochastic PDE approach to fluctuating interfaces Interface fluctuations for $1$D stochastic Allen-Cahn equation revisited

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:20:41.468609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation cb4276bd-30b0-40e6-8d95-0069afa70832 · inbound

Linear fluctuation of interfaces in Glauber-Kawasaki dynamics cites this paper.

Linear fluctuation of interfaces in Glauber-Kawasaki dynamics Stochastic PDE approach to fluctuating interfaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T22:05:40.056210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.